A Fractal Melody
This demo will show how to use
the mathematics of fractals to generate music. Fractals are
based on a set of probabilistic mathematical systems which
have some interesting properties. The output is 'noisy' but
features aspects of self similarity, that is, patterns reoccur
at different levels of detail which provides a sense of
coherence not found in other probabilistic processes. Fractals
are often represented visually, most famously in the
'bug-like' picture of the Mandelbrot set.
For an overview of Fractals and
their musical uses read The Computer Music Tutorial (Roads
1996) from p.880. Also read Computer Music (Dodge & Jerse
1997) from p.370.
To hear the result play the
MIDI file below.